Fractional OAM basis wavefront single-pixel imaging

Abstract

Existing orbital angular momentum basis-based wavefront single-pixel imaging (OAM-WSPI) utilizes integer OAM beams as the modulation basis to measure the spatial wavefront, which has attracted attention recently. As an indispensable complement to integer OAM beams, fractional OAM beams have unique physical properties such as more sophisticated modulation dimensions and so on. However, the implementation of OAM-WSPI using fractional OAM beams has not yet been verified. Here, taking the fractional Laguerre Gaussian (LG) beams as an example, we implemented the fractional LG basis-based WSPI (FLG-WSPI) and verified the feasibility of using fractional OAM beams as the modulation basis for WSPI. Furthermore, the influence of the inherent parameters of the fractional LG beams on the imaging performance of FLG-WSPI has been investigated in detail. Simulations and experiments show that the range of radial index, azimuthal index, and beam waist radius of the FLG basis influences the field of view (FOV). This work promotes the development of OAM-WSPI techniques.